12 citations · 60 across the 29 of their papers we have counts for
3 papers · 2 filters
Barr-coexactness for metric compact Hausdorff spaces
Marco Abbadini, Dirk Hofmann
Compact metric spaces form an important class of metric spaces, but the category that they define lacks many important properties such as completeness and cocompleteness. In recent…
A variety of co-quasivarieties
Maria Manuel Clementino, Carlos Fitas, Dirk Hofmann
It is shown that the duals of several categories of topological flavour, like the categories of ordered sets, generalised metric spaces, probabilistic metric spaces, topological sp…
Cauchy convergence in V-normed categories
Maria Manuel Clementino, Dirk Hofmann, Walter Tholen
Building on the notion of normed category as suggested by Lawvere, we introduce notions of Cauchy convergence and cocompleteness which differ from proposals in previous works. Key…